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81909342 = 23219376473
BaseRepresentation
bin1001110000111…
…01011001011110
312201010102111100
410320131121132
5131432044332
612043333530
72013134514
oct470353136
9181112440
1081909342
1142265779
12235212a6
1313c7b488
14ac424b4
1572ce67c
hex4e1d65e

81909342 has 48 divisors (see below), whose sum is σ = 191889360. Its totient is φ = 25163136.

The previous prime is 81909341. The next prime is 81909389. The reversal of 81909342 is 24390918.

It is a junction number, because it is equal to n+sod(n) for n = 81909297 and 81909306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81909341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9418 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (3997695).

Almost surely, 281909342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81909342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95944680).

81909342 is an abundant number, since it is smaller than the sum of its proper divisors (109980018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81909342 is a wasteful number, since it uses less digits than its factorization.

81909342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 81909342 is about 9050.3780031554. The cubic root of 81909342 is about 434.2879830317.

The spelling of 81909342 in words is "eighty-one million, nine hundred nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 6473 12654 12946 19419 38838 58257 116514 122987 239501 245974 368961 479002 718503 737922 1106883 1437006 2155509 2213766 4311018 4550519 9101038 13651557 27303114 40954671 81909342